Surrogate Modelling of Solutions of Integral Equations by Neural Networks

Abstract : Surrogate modelling of solutions of integral equations by neural networks is investigated theoretically. Estimates of speed of convergence of suboptimal surrogate solutions to solutions described by Fredholm theorem are derived.
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Lazaros Iliadis; Ilias Maglogiannis; Harris Papadopoulos. 8th International Conference on Artificial Intelligence Applications and Innovations (AIAI), Sep 2012, Halkidiki, Greece. Springer, IFIP Advances in Information and Communication Technology, AICT-381 (Part I), pp.88-96, 2012, Artificial Intelligence Applications and Innovations. 〈10.1007/978-3-642-33409-2_10〉
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Věra Kůrková. Surrogate Modelling of Solutions of Integral Equations by Neural Networks. Lazaros Iliadis; Ilias Maglogiannis; Harris Papadopoulos. 8th International Conference on Artificial Intelligence Applications and Innovations (AIAI), Sep 2012, Halkidiki, Greece. Springer, IFIP Advances in Information and Communication Technology, AICT-381 (Part I), pp.88-96, 2012, Artificial Intelligence Applications and Innovations. 〈10.1007/978-3-642-33409-2_10〉. 〈hal-01521408〉

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